In the present work, we consider the transmission of a single electron with spin through a single domain wall
as well as a pair of domain walls with opposite chirality of the localized magnetic moment. For simplicity,
the whole processes are regarded as coherent processes, and we concentrate on the calculation of the transmission
and reflection probabilities with spin-flip and spin-nonflip. The results derived here could be incorporated
into the Landauer-Büttiker formula[1]}, [2]}
to evaluate the currents in more actual situations.
